Which equation demonstrates the additive identity property?
1 answer:
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The value of x is 55°
Step-by-step explanation:
Given figure is a parallelogram.
In a parallelogram, the opposite sides are equal and parallel and the opposite angles are equal.
This means that,
in the given parallelogram
m∠A=m∠C=x°
m∠B=m∠D=(2x+15)°
The sum of interior angles of a parallelogram is 360 degrees.
So,
m∠A+m∠B+m∠C+m∠D=360°
Putting the values of angles
The value of x is 55°
Keywords: Parallelogram, angles
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The two angles are 155 degrees and 25 degrees
<h3><u>Solution:</u></h3>Given that two supplementary angles are in ratio 31 : 5
Let the first angle be 31a
Let the second angle be 5a
Two Angles are Supplementary when they add up to 180 degrees.
Therefore,
first angle + second angle = 180 degrees
<em><u>Therefore the angles are:</u></em>
first angle = 31a = 31(5) = 155 degrees
second angle = 5a = 5(5) = 25 degrees
Thus the two angles are 155 degrees and 25 degrees